What is the limit as x approaches 2+of (x-3)/(x^2-2) ?

The limit as x approaches 2+of (x-3)/(x^2-2) is -1/2

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limit as x approaches 2+of (x-3)/(x^2-2)

x \to 2 + lim (\frac{x - 3}{x ^{2} - 2})

- \frac{1}{2}

Decimal Notation

- 0.5

Solution steps

x \to 2 + lim (\frac{x - 3}{x ^{2} - 2})

Plug in the value

x = 2

= \frac{2 - 3}{2 ^{2} - 2}

Simplify

= - \frac{1}{2}

x \to 2 lim (∣ x - 2 ∣)

x \to 0 lim (2^{x} - 1)

x \to 5 lim (x^{2} + 1)

x \to 7 lim (\frac{x - 7}{x})

x \to 0 lim (2 x cos (\frac{1}{x}))

What is the limit as x approaches 2+of (x-3)/(x^2-2) ?
The limit as x approaches 2+of (x-3)/(x^2-2) is -1/2